trying to understand an n power algebraic formula!

**Melsi** · May 31st 2011, 04:16 AM

Hello,

does anyone know why:

[(n+3)/n]^n = [(n+3)/(n+2)]^n * [(n+2)/(n+1)]^n *[(n+1)/n]^n

I try but no success.

Thank you guys!

**Prove It** · May 31st 2011, 04:24 AM

$\displaystyle \begin{align*} \left(\frac{n+3}{n+2}\right)^n \cdot \left(\frac{n+2}{n+1}\right)^n \cdot \left(\frac{n+1}{n}\right)^n &= \frac{(n+3)^n}{(n+2)^n}\cdot\frac{(n+2)^n}{(n+1)^n }\cdot\frac{(n+1)^n}{n^n} \\ &= \frac{(n+3)^n\cdot (n+2)^n\cdot (n+1)^n}{(n+2)^n \cdot (n+1)^n \cdot n^n} \\ &= \frac{(n+3)^n}{n^n} \\ &= \left(\frac{n+3}{n}\right)^n\end{align*}$

**Melsi** · May 31st 2011, 04:25 AM

You are the man!

Thank you very very much for your help!

Thread: trying to understand an n power algebraic formula!

LinkBack

Thread Tools

Display

trying to understand an n power algebraic formula!

Similar Math Help Forum Discussions

Please help me understand this algebraic simplification...

I need help to understand this algebraic fraction problem

How to understand this formula a(n, 2k-1) = a(n-1, k)...

[SOLVED] y=a(x-h)(x-k) - i dont understand this formula

cant understand this derivative formula..

Search Tags